DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lei, CX | - |
dc.contributor.author | Kim, K | - |
dc.contributor.author | Lin, ZG | - |
dc.date.accessioned | 2016-03-31T07:53:10Z | - |
dc.date.available | 2016-03-31T07:53:10Z | - |
dc.date.created | 2015-02-04 | - |
dc.date.issued | 2014-05 | - |
dc.identifier.issn | 1674-7283 | - |
dc.identifier.other | 2014-OAK-0000031064 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/14117 | - |
dc.description.abstract | In this paper, a reaction-diffusion system is proposed to investigate avian-human influenza. Two free boundaries are introduced to describe the spreading frontiers of the avian influenza. The basic reproduction numbers r (0) (F) (t) and R (0) (F) (t) are defined for the bird with the avian influenza and for the human with the mutant avian influenza of the free boundary problem, respectively. Properties of these two time-dependent basic reproduction numbers are obtained. Sufficient conditions both for spreading and for vanishing of the avian influenza are given. It is shown that if r (0) (F) (0) < 1 and the initial number of the infected birds is small, the avian influenza vanishes in the bird world. Furthermore, if r (0) (F) (0) < 1 and R (0) (F) (0) < 1, the avian influenza vanishes in the bird and human worlds. In the case that r (0) (F) (0) < 1 and R (0) (F) (0) > 1, spreading of the mutant avian influenza in the human world is possible. It is also shown that if r (0) (F) (t (0)) a (c) 3/4 1 for any t (0) a (c) 3/4 0, the avian influenza spreads in the bird world. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | SCIENCE PRESS | - |
dc.relation.isPartOf | SCIENCE CHINA-MATHEMATICS | - |
dc.subject | reaction-diffusion system | - |
dc.subject | avian-human influenza | - |
dc.subject | free boundary | - |
dc.subject | spreading frontiers | - |
dc.subject | EPIDEMIC MODEL | - |
dc.subject | INFECTIOUS-DISEASES | - |
dc.subject | MATHEMATICAL-THEORY | - |
dc.subject | SARS | - |
dc.title | The spreading frontiers of avian-human influenza described by the free boundary | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S11425-013-4652-7 | - |
dc.author.google | Lei, CX | - |
dc.author.google | Kim, K | - |
dc.author.google | Lin, ZG | - |
dc.relation.volume | 57 | - |
dc.relation.issue | 5 | - |
dc.relation.startpage | 971 | - |
dc.relation.lastpage | 990 | - |
dc.contributor.id | 10114176 | - |
dc.relation.journal | SCIENCE CHINA-MATHEMATICS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | SCIENCE CHINA-MATHEMATICS, v.57, no.5, pp.971 - 990 | - |
dc.identifier.wosid | 000334434900004 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 990 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 971 | - |
dc.citation.title | SCIENCE CHINA-MATHEMATICS | - |
dc.citation.volume | 57 | - |
dc.contributor.affiliatedAuthor | Kim, K | - |
dc.identifier.scopusid | 2-s2.0-84898546767 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 3 | - |
dc.description.scptc | 3 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordPlus | EPIDEMIC MODEL | - |
dc.subject.keywordPlus | INFECTIOUS-DISEASES | - |
dc.subject.keywordPlus | MATHEMATICAL-THEORY | - |
dc.subject.keywordPlus | SARS | - |
dc.subject.keywordAuthor | reaction-diffusion system | - |
dc.subject.keywordAuthor | avian-human influenza | - |
dc.subject.keywordAuthor | free boundary | - |
dc.subject.keywordAuthor | spreading frontiers | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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